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Inverse Functions Practice Questions

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Updated on Oct 2, 2011

Read the following study guide for a concept review:

Inverse Functions Study Guide

Practice Questions

Evaluate each of the following inverse trigonometric functions.

1.
2.
3.
4.
5.
6.
7.
8.
9.
10.

 

Evaluate each of the following.

11.
12.
13.
14.
15.
16. tan(sin–1(0.3))
17. tan(tan–1(9.2))
18. sin(tan–1(1.2))

 

Evaluate the following inverse trigonometric functions on a calculator.

19. sin–1(0.81)
20. cos–1(–0.33)
21.
22.
23.
24.

 

Find the measure of the angle x in each triangle.

25. Inverse Functions
26. Inverse Functions
27. Inverse Functions

Answers

1.
2.
3.
4. 180° = π
5.
6. 0° = 0 radians
7.
8.
9.
10. 0° = 0
11.
12.
13. 4√3
14.
15.
16.
17. 9.2
18.
19. sin–1(0.8l) ≈ 54° ≈ 0.944 radians
20. cos–1(–0.33) ≈ 109.3° ≈ 1.907 radians
21. tan–1(4.2) ≈ 76.6° ≈ 1.337 radians
22.
23.
24. tan–1(–1.8) ≈ –60.95° ≈ –1.064 radians
25. x ≈ 23.58° ≈ 0.412 radians
26. x ≈ 56.25° ≈ 0.982 radians
27. x ≈ 15.26° ≈ 0.266 radians
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